A fractional variational image denoising model with two-component regularization terms

作者：

Highlights：

• A two-component variational image denoising model is established.

• The existence and uniqueness of solution for the variational model are proved.

• A numerical algorithm for this model is proposed to validate the theoretical resultsl.

• The efficiency of our numerical method is tested by comparing with some other published works.

摘要

•A two-component variational image denoising model is established.•The existence and uniqueness of solution for the variational model are proved.•A numerical algorithm for this model is proposed to validate the theoretical resultsl.•The efficiency of our numerical method is tested by comparing with some other published works.

论文关键词：Fractional,Variational method,Two-component regularization,Split-Bregman method

论文评审过程：Received 15 June 2021, Revised 6 April 2022, Accepted 11 April 2022, Available online 22 April 2022, Version of Record 22 April 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127178